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Number series

This section assesses students' inductive reasoning, quantitative reasoning, and number facility. The test presents a set of numbers, and the student is to select the number that would come next in the series.

    In order to answer a question, the student will need to:
  • Figure out the pattern from the given number series;
  • From the choices, select the one comes next in the series following the same pattern
    Below shows a number of typical patterns and examples
  • Adding a certain number to get the next:
    1.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.
    59131721
    A) 21B) 27C) 25D) 26E) 28
    [Correct Answer]:C
  • Deducting a certain number to get the next:
    2.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.
    98765
    A) 5B) 2C) 0D) 4E) 7
    [Correct Answer]:D
  • Adding the previous two numbers to get the next:
    3.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.
    246101626
    A) 42B) 46C) 40D) 41E) 45
    [Correct Answer]:A
  • Every 3 numbers repeat:
    4.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.
    13513513513
    A) 5B) 3C) 7D) 1E) 9
    [Correct Answer]:A
  • Every 3 numbers repeat with order changes:
    5.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.

    369936693369
    A) 12B) 6C) 9D) 3E) 15
    [Correct Answer]:C
  • Every 4 numbers repeat:
    6.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.
    1
    8
     
    1
    6
     
    1
    4
     
    1
    2
     
    1
    8
     
    1
    6
     
    1
    4
     
    1
    2
     
    1
    8
     
    1
    6
     
    1
    4
     
    1
    2
     
    1
    8
     
    1
    6
     
    A)
    1
    8
     
    B)
    1
    10
     
    C)
    1
    2
     
    D)
    1
    12
     
    E)
    1
    4
     
    [Correct Answer]:E
  • Every 4 numbers as a group:
    7.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.
    123422343234423
    A) 3B) 1C) 2D) 4E) 5
    [Correct Answer]:D
  • Adding one to both denominator and numerator to get the next fraction:
    8.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.

    2
    3
     
    3
    4
     
    4
    5
     
    5
    6
     
    6
    7
     
    A)
    9
    8
     
    B)
    7
    8
     
    C)
    7
    6
     
    D)
    7
    9
     
    E)
    6
    8
     
    [Correct Answer]:B
  • Each number is square number in sequence:
    9.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.

    14916
    A) 30B) 15C) 25D) 45E) 40
    [Correct Answer]:C
  • Appending a digit following certain pattern to get the next number:
    10.  Figure out the rule used to arrange the numbers, then decide what number should come next in the series.
    4545455545
    A) 5455B) 55455C) 5554D) 55545E) 554555
    [Correct Answer]:B